(u^3-8)-3u+8=0

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Solution for (u^3-8)-3u+8=0 equation:


Simplifying
(u3 + -8) + -3u + 8 = 0

Reorder the terms:
(-8 + u3) + -3u + 8 = 0

Remove parenthesis around (-8 + u3)
-8 + u3 + -3u + 8 = 0

Reorder the terms:
-8 + 8 + -3u + u3 = 0

Combine like terms: -8 + 8 = 0
0 + -3u + u3 = 0
-3u + u3 = 0

Solving
-3u + u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-3 + u2) = 0

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(-3 + u2)' equal to zero and attempt to solve: Simplifying -3 + u2 = 0 Solving -3 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + u2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u2 = 0 + 3 u2 = 0 + 3 Combine like terms: 0 + 3 = 3 u2 = 3 Simplifying u2 = 3 Take the square root of each side: u = {-1.732050808, 1.732050808}

Solution

u = {0, -1.732050808, 1.732050808}

 

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